In two accidents on the water, the boats either sank or capsized, killing more than a dozen passengers in each incident.
Ms Coleman told an Indianapolis television station that she lost all of her children in the accident, which is the deadliest of its kind in almost two decades.
"When it was time to grab them it was too late", she told the TV station.
Suzanne Smagala, from Ripley Entertainment, which owns Ride the Ducks in Branson, said the company was assisting authorities.
"Oh my God, those poor people, oh no!" someone repeatedly says in the video as massive waves hit the duck boats, at times almost burying them.
Steve Linderberg, a meteorologist with the National Weather Service, said a severe line of storms blew through the Springfield area between 6:15 and 6:30 p.m.
During a press conference Friday morning, Sheriff Doug Radar confirmed that there were life jackets on board, but could not comment if they were in use.More news: British man plotted to kill Prime Minister Theresa May
However, the News-Leader quotes Capt. Jim Pulley, owner of a Sea Tow service on Table Lake, as saying the storm hit with 80 miles per hour winds that produced five-foot waves.
An Ankeny nurse was among the heroes who worked to save some of the victims of a deadly duck boat accident in Missouri Thursday that claimed 17 lives. The crew was warned to get in and out of the lake quickly as a storm was approaching, she said.
Authorities say six people remain missing after a duck boat carrying tourists capsized and sank on a lake in southwest Missouri.
The boats were originally designed for the military, specifically to transport troops and supplies in World War II.
One of the boats made it to shore but the other was driven back by the wind and eventually overwhelmed.
The National Transportation Safety Board and US Coast Guard are investigating the boat's sinking, which occurred around the time local weather warnings were issued due to powerful thunderstorms rolling through the area.
Carr recorded some of the last moments of the struggling duck boat as she and other onlookers watched from nearby while on a dinner cruise on the Showboat Branson Belle.More news: Very Large Telescope In Chile Captures Remarkably Sharp Images Of Neptune
July 16, 2003: Sixty-three-year-old Rosemary Hamelburg fell backward off a duck boat onto a parking lot while taking a photo and died four days later.
"There is a canopy fixed to the top that, unlike any other boats in the world, that pulls the passengers with it towards the bottom of the lake", the attorney said. Seven people were transported to the hospital.
At the time, he said, the lake seemed calm, and no one was anxious about the weather.
The Thursday night accident was one of the deadliest United States tourist incidents in recent years. And past year, Boston-one of the most prominent duck boat tour cities-began adopting new safety regulations in the wake of concerns from critics.
WXIN spoke on the phone with one of the family members that survived the incident, Tia Coleman.
"These people showed an incredible strength maybe that we don't always give them credit for", Cox said by telephone. Right now it's just it's just about supporting the families in any way we can.
A woman walking in Philadelphia's Chinatown neighbourhood was killed by a duck boat in May 2015. "They're not fit for water or land because they are a half auto and half boat".More news: Iran files lawsuit against United States over sanctions